If the frequency of a wave is doubled, what happens to its wavelength, assuming

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Question: If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)

Options:

Correct Answer: Halves

Exam Year: 2021

Solution:

Wavelength (λ) is inversely proportional to frequency (f) when speed (v) is constant: λ = v/f. If f is doubled, λ is halved.

If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)

If the frequency of a wave is doubled, what happens to its wavelength, assuming the speed remains constant? (2021)

Step 1: Understand the relationship between wavelength (λ), frequency (f), and speed (v) of a wave. The formula is λ = v / f.
Step 2: Recognize that if the speed (v) of the wave is constant, any change in frequency (f) will affect the wavelength (λ).
Step 3: If the frequency (f) is doubled, it means that the wave is oscillating more times in the same amount of time.
Step 4: Since wavelength (λ) is inversely proportional to frequency (f), if frequency increases, wavelength must decrease.
Step 5: Calculate the new wavelength: If f is doubled, then λ becomes half of its original value.

Wave Properties – Understanding the relationship between frequency, wavelength, and wave speed.
Inverse Proportionality – Recognizing that as one quantity increases, the other decreases when the product remains constant.